Approximate mass spectra and root mean square radii of quarkonia using Cornell potential plus spin-spin interactions

Omugbe, E.; Inyang, E. P.; Njoku, I. J.; Martínez-Flores, C.; Jahanshir, Arezu; Okon, I. B.; Eyube, E. S.; Horchani, R.; Onate, C. A.

doi:10.1016/j.nuclphysa.2023.122653

Cited by 7 publications

(8 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The mean value was calculated with the normalized wave function in two models: the classical model (α = β = 1, λ = 0 15) and the fractional model (α = 0 59, β = 0 2, λ = 0 6). The present results are in agreement with other works [44][45][46][47]. In Table 5, the radial mean value y ((GeV) -1 ) for various levels of bottomonium and topological defect causes to split nP and nD states.…”

Section: Statesupporting

confidence: 93%

“…The mean values were calculated with the normalized wave function in the classical and fractional models. In the classical model (α = β = 1, λ = 0 13), we note that the effect of topological defect on S-states does not appear like P-states and D-states; the results in this model are in good agreement with other works [4,44,45]. In the fractional model (α = 0 7, β = 0 1, λ = 0 6), the generalized fractional parameter plays an important role especially in S-states and P-states and D-states.…”

Section: Statesupporting

confidence: 90%

“…The result in this case is acceptable with other works. In the second case (α = 0 6, β = 0 27, λ = 0 9), the generalized fractional parameter plays an important role where the results are in agreement with other works [44][45][46][47]. Table 6: Expectation value of bottomonium of y −1 (GeV) for two models (the classical model (α = β = 1, λ = 0 2), the fractional model (α = 0 56, β = 0 1, λ = 0 5)).…”

Section: Statesupporting

confidence: 89%

“…The mean value was calculated using the normalized wave function in two models (α = β = 1, λ = 0 13); we note that the effect of the topological defect on S-states does not appear like P-states and D-states. In the fractional model (α = 0 7, β = 0 1, λ = 0 6), the generalized fractional parameter plays an important role especially in S-states and P-states and D-states where the results are in agreement with other works [44][45][46]. Also, we can see that the average value y ((GeV) -1 ) decreases for bottomonium with an increase in the reduced mass compared with charmonium.…”

Section: Statesupporting

confidence: 88%

“…We also obtained the wave function; then, we calculated the root mean of charmonium and bottomonium in two models under the effect of topological defect, and the results are in agreement with Refs. [44][45][46][47]. The mass and thermodynamic properties were analyzed graphically.…”

Section: Discussionmentioning

confidence: 99%

See 4 more Smart Citations

Properties and Behaviors of Heavy Quarkonia: Insights through Fractional Model and Topological Defects

Abu-shady,

Fath-Allah

2024

Advances in High Energy Physics

View full text Add to dashboard Cite

In this study, we investigated the impact of a topological defect (λ) on the properties of heavy quarkonia using the extended Cornell potential. We solved the fractional radial Schrödinger equation (SE) using the extended Nikiforov-Uvarov (ENU) method to obtain the eigenvalues of energy, which allowed us to calculate the masses of charmonium and bottomonium. One significant observation was the splitting between nP and nD states, which attributed to the presence of the topological defect. We discovered that the excited states were divided into components corresponding to 2l+1, indicating that the gravity field induced by the topological defect interacts with energy levels like the Zeeman effect caused by a magnetic field. Additionally, we derived the wave function and calculated the root-mean radii for charmonium and bottomonium. A comparison with the classical models was performed, resulting in better results being obtained. Furthermore, we investigated the thermodynamic properties of charmonium and bottomonium, determining quantities such as energy, partition function, free energy, mean energy, specific heat, and entropy for P-states. The obtained results were found to be consistent with experimental data and previous works. In conclusion, the fractional model used in this work proved an essential role in understanding the various properties and behaviors of heavy quarkonia in the presence of topological defects.

show abstract

Section: Statesupporting

confidence: 93%

Section: Statesupporting

confidence: 90%